Solve (left(0.3439-0.2513)+(0.3439-0.3019right))left(0.3019-0.2513right)1/2/left(0.3019-0.2513right)left(0.3439-0.2509right)

$$\frac{ ( \left( 0.3439-0.2513)+(0.3439-0.3019 \right) ) \left( 0.3019-0.2513 \right) \frac{ 1 }{ 2 } }{ \left( 0.3019-0.2513 \right) \left( 0.3439-0.2509 \right) }$$

Evaluate

$$\frac{673}{930}\approx 0.723655914$$

Solution Steps

Cancel out \frac{3019-2513}{10000} in both numerator and denominator.

$$\frac{\frac{1}{2}\times \frac{3439+3439-3019-2513}{10000}}{\frac{3439-2509}{10000}}$$

Add 3439 and 3439 to get 6878.

$$\frac{\frac{1}{2}\times \frac{6878-3019-2513}{10000}}{\frac{3439-2509}{10000}}$$

Subtract 3019 from 6878 to get 3859.

$$\frac{\frac{1}{2}\times \frac{3859-2513}{10000}}{\frac{3439-2509}{10000}}$$

Subtract 2513 from 3859 to get 1346.

$$\frac{\frac{1}{2}\times \frac{1346}{10000}}{\frac{3439-2509}{10000}}$$

Reduce the fraction \frac{1346}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{2}\times \frac{673}{5000}}{\frac{3439-2509}{10000}}$$

Multiply \frac{1}{2} times \frac{673}{5000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 673}{2\times 5000}}{\frac{3439-2509}{10000}}$$

Do the multiplications in the fraction \frac{1\times 673}{2\times 5000}.

$$\frac{\frac{673}{10000}}{\frac{3439-2509}{10000}}$$

Subtract 2509 from 3439 to get 930.

$$\frac{\frac{673}{10000}}{\frac{930}{10000}}$$

Reduce the fraction \frac{930}{10000} to lowest terms by extracting and canceling out 10.

$$\frac{\frac{673}{10000}}{\frac{93}{1000}}$$

Divide \frac{673}{10000} by \frac{93}{1000} by multiplying \frac{673}{10000} by the reciprocal of \frac{93}{1000}.

$$\frac{673}{10000}\times \frac{1000}{93}$$

Multiply \frac{673}{10000} times \frac{1000}{93} by multiplying numerator times numerator and denominator times denominator.

$$\frac{673\times 1000}{10000\times 93}$$

Do the multiplications in the fraction \frac{673\times 1000}{10000\times 93}.

$$\frac{673000}{930000}$$

Reduce the fraction \frac{673000}{930000} to lowest terms by extracting and canceling out 1000.

$$\frac{673}{930}$$

Factor

$$\frac{673}{2 \cdot 3 \cdot 5 \cdot 31} = 0.7236559139784946$$